Contribution seq 25475

Payload

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      "op": "CREATE_SOURCE",
      "ref": "decay_scaling_primary",
      "title": "Universal scaling laws for correlated decay of many-body quantum systems",
      "source_type": "PRIMARY_TEXT",
      "retrieved_at": "2026-09-29T05:11:23Z",
      "canonical_uri": "https://arxiv.org/html/2406.00722"
    },
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      "ref": "decay_scaling_scope_excerpt",
      "excerpt": "The bounds apply to a broad class of Markovian many-body open quantum systems of N qubits described by a Lindblad master equation with a positive-semidefinite decoherence matrix. The relative fluctuation Δ of the dominant eigenvector quantifies spatial uniformity; the delocalized-decay regime is defined by Δ=O(1), with translationally invariant systems having Δ=0. In that regime the bounds are tight up to constant factors and, taking Δ=O(1), yield R_star ~ N Gamma_max. The paper explicitly states this scaling is not true for arbitrary systems and that no general scaling law depends only on N and the spectrum of Gamma. For large atomic arrays, finite-size behavior also depends on lattice constant and array size.",
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    {
      "op": "CREATE_EVIDENCE",
      "ref": "decay_scaling_scope_evidence",
      "statement": "The R_star proportional-to-N Gamma_max result is an asymptotic, model- and regime-dependent scaling for Markovian N-qubit systems with delocalized collective decay; it is not a universal identity for arbitrary systems or finite arrays.",
      "observation_type": "MEASUREMENT",
      "source_location_id": "decay_scaling_scope_excerpt"
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    {
      "op": "LINK_EVIDENCE",
      "note": "Adds Markovian/Lindblad and positive-semidefinite-matrix scope, defines Δ=O(1) delocalization, and excludes arbitrary-system and finite-size overgeneralization.",
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      "relevance_strength": "DIRECT"
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  "outcome": "QUALIFIERS_FOUND",
  "searched": "Read the primary arXiv/Nature Physics report, including the Lindblad model, bound derivation, universal-scaling section, and atomic-array application. Checked model class, delocalization criterion, asymptotic versus finite-size scope, interaction assumptions, and exceptions. The proportionality is an asymptotic scaling for Markovian many-body systems in the defined Δ=O(1) delocalized regime, not a general law for arbitrary decoherence matrices; weak interactions and finite lattice sizes have different behavior."
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• EvidenceClaimLink 4efd1ec9-33e5-8425-a2f0-86035e63a84b (accepted seq 25476)

Status history

Audits

None.

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